Z$_3$-graded differential geometry of quantum plane

Details Z$_3$-graded differential geometry of quantum plane Z$_3$-graded differential geometry of quantum plane

2002-01-03

arxiv.org/abs/math/0201018v1

J. Phys. A: Math. Gen. 35 (2002), 6307-6318

Mathematics

Quantum Algebra

17 pages

Scientific paper

10.1088/0305-4470/35/30/308

In this work, the Z$_3$-graded differential geometry of the quantum plane is
constructed. The corresponding quantum Lie algebra and its Hopf algebra
structure are obtained. The dual algebra, i.e. universal enveloping algebra of
the quantum plane is explicitly constructed and an isomorphism between the
quantum Lie algebra and the dual algebra is given.

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